New Supersymmetry of the Monopole

Details New Supersymmetry of the Monopole New Supersymmetry of the Monopole

1995-07-07

arxiv.org/abs/hep-th/9507046v1

Phys.Lett. B359 (1995) 114-117

Physics

High Energy Physics

High Energy Physics - Theory

Latex twice, 1+5 pages

Scientific paper

10.1016/0370-2693(95)01063-V

The non-relativistic dynamics of a spin-1/2 particle in a monopole field possesses a rich supersymmetry structure. One supersymmetry, uncovered by d'Hoker and Vinet, is of the standard type: it squares to the Hamiltonian. In this paper we show the presence of another supersymmetry which squares to the Casimir invariant of the full rotation group. The geometrical origin of this supersymmetry is traced, and its relationship with the constrained dynamics of a spinning particle on a sphere centered at the monopole is described.

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